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If 3 out of 10 people live in a terraced house, what percentage does this represent?

Percentages (Difficult)

Percentages are proportions of numbers. In this second section of quizzes on percentages, you'll get some practice in expressing one number as a percentage of another number. Suppose you were asked: 'What percentage of 50 is 20?' How would you do it? This is how you would do it: ²⁰⁄₅₀ × 100% = (20 × 100) ÷ 50 = 40%.

Percentages are an important part of Maths and they crop up in everyday life all the time. You may have heard a relative talk about a 5 or 10% deposit on a house, or perhaps interest on a bank loan. It's a good idea to really learn about percentages now, because as you progress through school you'll be asked to do harder and harder calculations involving percentages. They are all around us - and they won't go away!

See if you can get 100% in this 11-plus Maths quiz! As always, take your time, read the question and four answers carefully before making your choice.

1 .

What percentage of 100 is 20?

0.2%

20%

200%

10%

²⁰?₁₀₀ × 100% = (20 × 100) ÷ 100 = 20%

2 .

What percentage of 300 is 900?

30%

270%

300%

27%

⁹⁰⁰?₃₀ × 100% = (900 × 100) ÷ 30 = 300%. DON'T think that percentages can't be more than 100%

3 .

What percentage of 48 is 15?

72%

7.2%

3.125%

31.25%

¹⁵?₄₈ × 100% = (15 × 100) ÷ 48 = 31.25%

4 .

What percentage of 500 is 60?

30%

12%

1.2%

⁶⁰?₅₀₀ × 100% = (60 × 100) ÷ 500 = 12%

5 .

What percentage of 90 is 18?

1.62%

20%

16.2%

¹⁸?₉₀ × 100% = (18 × 100) ÷ 90 = 20%

6 .

If 12 pupils in a class of 30 don't have school lunch, what percentage of the class does this represent?

40%

36%

3.6%

¹²?₃₀ × 100% = (12 × 100) ÷ 30 = 40%

7 .

If 240 people out of a workforce of 1,500 were fired, what percentage of the workforce does this represent?

16%

36%

1.6%

3.6%

²⁴⁰?_1,500 × 100% = (240 × 100) ÷ 1,500 = 16%

8 .

If, in a certain survey, 25 out of 125 people like Crunchy Crunch chocolate, what percentage of those surveyed does this represent?

3.125%

20%

31.25%

²⁵?₁₂₅ × 100% = (25 × 100) ÷ 125 = 20%

9 .

If 3 out of 10 people live in a terraced house, what percentage does this represent?

0.3%

300%

30%

³?₁₀ × 100% = (3 × 100) ÷ 10 = 30%

10 .

If, in a survey on spending habits, 200 out of 10,000 people said they spent more than £300 a week on entertainment, what percentage does this represent?

20%

200%

0.2%

²⁰⁰?_10,000 × 100% = (200 × 100) ÷ 10,000 = 2%

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)